🎒

Where is 'D'? Is it inside or outside the triangle?

YES!!!

The 'quad' prefix means '4'.

However, quadrilaterals can have different names , depending on their characteristics.

Square

Reactangle

Rhombus

Parallelogram

Trapezium

Kite

Remember

Exterior angle = 360 / No. of sides.

Hence

Exterior Angle = 360//25 = 24 degrees,

It follows that the intertiot angle is 180 - 24 =156 degrees.

There are 15 interior angles

Hence 15 x 156 = 2340 degrees is the sum of the interior angles of a 'Pentadecagon'.

A pentagon is a FIVE sided plane figure.

Those five sides can be all the same length ; hence it is a REGULAR pentagon.

or the five sides can be of different lengths ' hence it is just pentagon.

Depending on how you choose to define a line segment, you may conclude that the letter E has 4 or 5 line segments.

To test use PYTHAGORAS ; h^2 = a^2 + b^2

34' is the longest side (h) , hence 34^(2) = 1156

a & b are 16 & 30

Hence

16^() + 30^(2) = 256 + 900 = 1156 , which equatres with 34^(2) . Thereby satisfies the Pythagorean Equation. Hence it is a Right angled triangle.

So the sides 16,30, & 34 form a right triangle.

C = pi d

By algebraic rearrangement

d = C / pi

You're supposed to know that

Circumference = (pi) x (diameter)

Divide each side of this equation by (pi) :

Diameter = Circumference/pi

And you also know that Diameter = 2 x Radius .

2 x Radius = Circumference/pi

Divide each side of that one by 2 :

Radius = Circumference/2 x pi .

and that's exactly what you need.

Two methods to try .

#1 Use pythagoras h^ = a^2 + a^2 NB THis is only good if you know that the two unknown sides are the same length.

#2

Use trigonometry (trig.) This is good if you know the hypotenuse and one of the angles.

Sine(angle) = opposite/ hypotenuse

Hence

opposite side = hypotenuse X sine(angle)

Similarly

Cosine(angle) = adjacent / hypotenuse.

adjacent side = hypotenuse X Cosine(angle)

Here is an example

If you known the hypotenuse is a length of '6' and the angle is 30 degrees.

Then

opposite = 6 X Sin(30)

opposite = 6 x 0.5 = 3

So the length of the oppisute sides is '3' units.

NB DO NOT make the mistakes of saying Sin(6 X 30) = Sin(180) Nor 6 x 30 , nor Sin(6) X 30 , nor any other combination.

You MUST find the SINE of the angle , then multiply it to the given length.

Similarly for Cosine and Tangent.

True. If all sides are congruent, and each angle is 90 degrees(keep in mind that in a four sided polygon, it adds up to 360), then the polygon is a square. All the square's sides will be proportional to each of the other squares sides, which makes it similar.

For example, if one square has a side length of 2, and another has a side length of 4, then the proportion would be 2\4, or 1\2. Since each side is congruent, then each side would be proportional. If you are proving, the squares diagonal, then the square, then it would be still proportional. Remember it would be a 45-45-90 triangle, with two angle bisected, and one left alone. 45-45-90 triangles are equal to the proportion x-x-x \/(2) (square root of two). So 2\/2 would be proportional to 4\/4 proving that any combo in a square would make it similar.

I hope this helps :D

-AnonymousSaber

It has 2 sides of 5 cm and 2 sides of 6 cm so the perimeter is 22 cm

Since there is no shaded part, the answer must be that its area is 0 square units.

You would have to get the copy from the book publisher. Otherwise it is necessary to purchase the textbook for your uses.

51 degrees

If, by square corners, you mean corners that are right angles, then any polygon with four or more sides can have two square corners. Furthermore, apart from near the corners, the lines need even be straight so the shape need not be a polygon. In the limit a semicircle has two right angles.

The only solution that I know of is a bit of a cheat:5*(5 + 5) - 5/(.5 recurring).

This type of sum is continuous proportion

5 and 45 are a and c

formula:b=√ac

√5*45=√225=15.

So the mean proportional is 15.